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                <ol class="chapter"><li class="chapter-item expanded "><a href="../../preface.html"><strong aria-hidden="true">1.</strong> Preface</a></li><li class="chapter-item expanded "><a href="../../ch01/ch01.html"><strong aria-hidden="true">2.</strong> Chapter 1</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch01/1.1/1.1.html"><strong aria-hidden="true">2.1.</strong> Section 1.1</a></li><li class="chapter-item expanded "><a href="../../ch01/1.3/1.3.html"><strong aria-hidden="true">2.2.</strong> Section 1.3</a></li><li class="chapter-item expanded "><a href="../../ch01/1.6/1.6.html"><strong aria-hidden="true">2.3.</strong> Section 1.6</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch02/ch02.html"><strong aria-hidden="true">3.</strong> Chapter 2</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch02/key-point/key-point.html"><strong aria-hidden="true">3.1.</strong> KeyPoints</a></li><li class="chapter-item expanded "><a href="../../ch02/2.2/2.2.html"><strong aria-hidden="true">3.2.</strong> Section 2.2</a></li><li class="chapter-item expanded "><a href="../../ch02/2.3/2.3.html"><strong aria-hidden="true">3.3.</strong> Section 2.3</a></li><li class="chapter-item expanded "><a href="../../ch02/2.4/2.4.html"><strong aria-hidden="true">3.4.</strong> Section 2.4</a></li><li class="chapter-item expanded "><a href="../../ch02/2.6/2.6.html"><strong aria-hidden="true">3.5.</strong> Section 2.6</a></li><li class="chapter-item expanded "><a href="../../ch02/2.8/2.8.html"><strong aria-hidden="true">3.6.</strong> Section 2.8</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch03/ch03.html"><strong aria-hidden="true">4.</strong> Chapter 3</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch03/key-point/key-point.html"><strong aria-hidden="true">4.1.</strong> KeyPoints</a></li><li class="chapter-item expanded "><a href="../../ch03/3.1/3.1.html"><strong aria-hidden="true">4.2.</strong> Section 3.1</a></li><li class="chapter-item expanded "><a href="../../ch03/3.3/3.3.html"><strong aria-hidden="true">4.3.</strong> Section 3.3</a></li><li class="chapter-item expanded "><a href="../../ch03/3.4/3.4.html"><strong aria-hidden="true">4.4.</strong> Section 3.4</a></li><li class="chapter-item expanded "><a href="../../ch03/3.5/3.5.html"><strong aria-hidden="true">4.5.</strong> Section 3.5</a></li><li class="chapter-item expanded "><a href="../../ch03/3.6/3.6.html"><strong aria-hidden="true">4.6.</strong> Section 3.6</a></li><li class="chapter-item expanded "><a href="../../ch03/3.7/3.7.html"><strong aria-hidden="true">4.7.</strong> Section 3.7</a></li><li class="chapter-item expanded "><a href="../../ch03/3.8/3.8.html"><strong aria-hidden="true">4.8.</strong> Section 3.8</a></li><li class="chapter-item expanded "><a href="../../ch03/3.9/3.9.html"><strong aria-hidden="true">4.9.</strong> Section 3.9</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch04/ch04.html"><strong aria-hidden="true">5.</strong> Chapter 4</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch04/key-point/key-point.html"><strong aria-hidden="true">5.1.</strong> KeyPoints</a></li><li class="chapter-item expanded "><a href="../../ch04/4.2/4.2.html"><strong aria-hidden="true">5.2.</strong> Section 4.2</a></li><li class="chapter-item expanded "><a href="../../ch04/4.3/4.3.html"><strong aria-hidden="true">5.3.</strong> Section 4.3</a></li><li class="chapter-item expanded "><a href="../../ch04/4.4/4.4.html"><strong aria-hidden="true">5.4.</strong> Section 4.4</a></li><li class="chapter-item expanded "><a href="../../ch04/4.5/4.5.html"><strong aria-hidden="true">5.5.</strong> Section 4.5</a></li><li class="chapter-item expanded "><a href="../../ch04/4.6/4.6.html"><strong aria-hidden="true">5.6.</strong> Section 4.6</a></li><li class="chapter-item expanded "><a href="../../ch04/4.7/4.7.html"><strong aria-hidden="true">5.7.</strong> Section 4.7</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch05/ch05.html"><strong aria-hidden="true">6.</strong> Chapter 5</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch05/5.1/5.1.html"><strong aria-hidden="true">6.1.</strong> Section 5.1</a></li><li class="chapter-item expanded "><a href="../../ch05/5.2/5.2.html"><strong aria-hidden="true">6.2.</strong> Section 5.2</a></li><li class="chapter-item expanded "><a href="../../ch05/5.3/5.3.html"><strong aria-hidden="true">6.3.</strong> Section 5.3</a></li><li class="chapter-item expanded "><a href="../../ch05/5.4/5.4.html"><strong aria-hidden="true">6.4.</strong> Section 5.4</a></li><li class="chapter-item expanded "><a href="../../ch05/5.5/5.5.html"><strong aria-hidden="true">6.5.</strong> Section 5.5</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch06/ch06.html"><strong aria-hidden="true">7.</strong> Chapter 6</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch06/6.1/6.1.html"><strong aria-hidden="true">7.1.</strong> Section 6.1</a></li><li class="chapter-item expanded "><a href="../../ch06/6.2/6.2.html"><strong aria-hidden="true">7.2.</strong> Section 6.2</a></li><li class="chapter-item expanded "><a href="../../ch06/6.3/6.3.html"><strong aria-hidden="true">7.3.</strong> Section 6.3</a></li><li class="chapter-item expanded "><a href="../../ch06/6.4/6.4.html" class="active"><strong aria-hidden="true">7.4.</strong> Section 6.4</a></li><li class="chapter-item expanded "><a href="../../ch06/6.5/6.5.html"><strong aria-hidden="true">7.5.</strong> Section 6.5</a></li><li class="chapter-item expanded "><a href="../../ch06/6.6/6.6.html"><strong aria-hidden="true">7.6.</strong> Section 6.6</a></li><li class="chapter-item expanded "><a href="../../ch06/6.7/6.7.html"><strong aria-hidden="true">7.7.</strong> Section 6.7</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch07/ch07.html"><strong aria-hidden="true">8.</strong> Chapter 7</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch07/7.2/7.2.html"><strong aria-hidden="true">8.1.</strong> Section 7.2</a></li><li class="chapter-item expanded "><a href="../../ch07/7.3/7.3.html"><strong aria-hidden="true">8.2.</strong> Section 7.3</a></li><li class="chapter-item expanded "><a href="../../ch07/7.3/7.4.html"><strong aria-hidden="true">8.3.</strong> Section 7.4</a></li><li class="chapter-item expanded "><a href="../../ch07/7.5/7.5.html"><strong aria-hidden="true">8.4.</strong> Section 7.5</a></li><li class="chapter-item expanded "><a href="../../ch07/7.6/7.6.html"><strong aria-hidden="true">8.5.</strong> Section 7.6</a></li><li class="chapter-item expanded "><a href="../../ch07/7.7/7.7.html"><strong aria-hidden="true">8.6.</strong> Section 7.7</a></li></ol></li><li class="chapter-item expanded "><a href="../../ch08/ch08.html"><strong aria-hidden="true">9.</strong> Chapter 8</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../../ch08/8.2/8.2.html"><strong aria-hidden="true">9.1.</strong> Section 8.2</a></li><li class="chapter-item expanded "><a href="../../ch08/8.3/8.3.html"><strong aria-hidden="true">9.2.</strong> Section 8.3</a></li><li class="chapter-item expanded "><a href="../../ch08/8.4/8.4.html"><strong aria-hidden="true">9.3.</strong> Section 8.4</a></li><li class="chapter-item expanded "><a href="../../ch08/8.5/8.5.html"><strong aria-hidden="true">9.4.</strong> Section 8.5</a></li></ol></li></ol>
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                        <h1 id="64-节的练习"><a class="header" href="#64-节的练习">6.4 节的练习</a></h1>
<h3 id="641"><a class="header" href="#641">6.4.1</a></h3>
<p>向图 6-19 的翻译方案中加入对应于下列产生式的规则：</p>
<ol>
<li>E -&gt; E1 * E2</li>
<li>E -&gt; +E1</li>
</ol>
<h4 id="解答"><a class="header" href="#解答">解答</a></h4>
<pre><code>产生式           语义规则

E -&gt; E1 * E2    { E.addr = new Temp();
                  E.code = E1.code || E2.code ||
                           gen(E.addr '=' E1.addr '*' E2.addr); }
                         
   | +E1        { E.addr = E1.addr;
                  E.code = E1.code; }
</code></pre>
<h3 id="642"><a class="header" href="#642">6.4.2</a></h3>
<p>使用图 6-20 的增量式翻译方案重复练习 6.4.1</p>
<h4 id="解答-1"><a class="header" href="#解答-1">解答</a></h4>
<pre><code>产生式           语义规则

E -&gt; E1 * E2    { E.addr =  new Temp();
                  gen(E.addr '=' E1.addr '*' E2.addr; }
                         
   | +E1        { E.addr = E1.addr; }
</code></pre>
<h3 id="643"><a class="header" href="#643">6.4.3</a></h3>
<p>使用图 6-22 的翻译方案来翻译下列赋值语句：</p>
<ol>
<li>x = a[i] + b[j]</li>
<li>x = a[i][j] + b[i][j]</li>
<li>! x = a[b[i][j]][c[k]]</li>
</ol>
<h4 id="解答-2"><a class="header" href="#解答-2">解答</a></h4>
<ol>
<li>
<p>x = a[i] + b[j]</p>
<p>语法分析树:</p>
<p><img src="./assets/6.4.3-1.gif" alt="6 4 3-1" /></p>
<p>三地址代码</p>
<pre><code> t_1 = i * awidth
 t_2 = a[t_1]
 t_3 = j * bwidth
 t_4 = b[t_3]
 t_5 = t_2 + t_4
 x = t_5
</code></pre>
</li>
<li>
<p>x = a[i][j] + b[i][j]</p>
<p>语法分析树：</p>
<p><img src="./assets/6.4.3-2.gif" alt="6 4 3-2" /></p>
<p>三地址代码：</p>
<pre><code> t_1 = i * ai_width
 t_2 = j * aj_width
 t_3 = t_1 + t_2
 t_4 = a[t_3]
 t_5 = i * bi_width
 t_6 = j * bj_width
 t_7 = t_5 + t_6
 t_8 = b[t_7]
 t_9 = t_4 + t_8
 x = t_9
</code></pre>
</li>
<li>
<p>! x = a[b[i][j]][c[k]]</p>
</li>
</ol>
<h3 id="644-"><a class="header" href="#644-">6.4.4 !</a></h3>
<p>修改图 6-22 的翻译方案，使之适合 Fortran 风格的数据引用，也就是说 n 维数组的引用为 id[E1, E2, …, En]</p>
<h4 id="解答-3"><a class="header" href="#解答-3">解答</a></h4>
<p>仅需修改 L 产生式（同图 6-22 一样，未考虑消除左递归）</p>
<pre><code>L -&gt; id[A]  { L.addr = A.addr; 
              global.array = top.get(id.lexeme); }
              
A -&gt; E      { A.array = global.array;
              A.type = A.array.type.elem;
              A.addr = new Temp();
              gen(A.addr '=' E.addr '*' A.type.width; }
              
A -&gt; A1,E   { A.array = A1.array;
              A.type = A1.type.elem;
              t = new Temp();
              A.addr = new Temp();
              gen(t '=' E.addr '*' A.type.length);
              gen(A.addr '=' A1.addr '+' t); }
</code></pre>
<h4 id="注意"><a class="header" href="#注意">注意</a></h4>
<p>令 a 表示一个 i*j 的数组，单个元素宽度为 w</p>
<pre><code>a.type = array(i, array(j, w))
a.type.length = i
a.type.elem = array(j, w)
</code></pre>
<h3 id="645"><a class="header" href="#645">6.4.5</a></h3>
<p>将公式 6.7 推广到多维数据上，并指出哪些值可以被存放到符号表中并用来计算偏移量。考虑下列情况：</p>
<ol>
<li>一个二维数组 A，按行存放。第一维的下标从 l_1 到 h_1，第二维的下标从 l_2 到 h_2。单个数组元素的宽度为 w。</li>
<li>其他条件和 1 相同，但是采用按列存放方式。</li>
<li>！一个 k 维数组 A，按行存放，元素宽度为 w，第 j 维的下标从 l_j 到 h_j。</li>
<li>！其他条件和 3 相同，但是采用按列存放方式。</li>
</ol>
<h4 id="解答-4"><a class="header" href="#解答-4">解答</a></h4>
<p>令 n_i 为第 i 维数组的元素个数，计算公式：n_i = h_i - l_i + 1</p>
<pre><code>3. A[i_1]]…[i_k] = base + 
                   (
                       (i_1 - l_1) * n_2 * … * n_k +
                       … + 
                       (i_k-1 - l_k-1) * n_k +
                       (i_k - l_k)
                   ) * w
                 
4. A[i_1]]…[i_k] = base + 
                   (
                       (i_1 - l_1) +
                       (i_2 - l_2) * n_1 + 
                       … +
                       (i_k - l_k) * n_k-1 * n_k-2 * … * n_1
                   ) * w
</code></pre>
<h3 id="646"><a class="header" href="#646">6.4.6</a></h3>
<p>一个按行存放的整数数组 A[i, j] 的下标 i 的范围为 1~10，下标 j 的范围为 1~20。每个整数占 4 个字节。假设数组 A 从 0 字节开始存放，请给出下列元素的位置：</p>
<ol>
<li>A[4, 5]</li>
<li>A[10, 8]</li>
<li>A[3, 17]</li>
</ol>
<h4 id="解答-5"><a class="header" href="#解答-5">解答</a></h4>
<p>计算公式：((i-1) * 20 + (j-1)) * 4</p>
<ol>
<li>(3 * 20 + 4) * 4 = 256</li>
<li>(9 * 20 + 7) * 4 = 748</li>
<li>(2 * 20 + 16) * 4 = 224</li>
</ol>
<h3 id="647"><a class="header" href="#647">6.4.7</a></h3>
<p>假定 A 是按列存放的，重复练习 6.4.6</p>
<h4 id="解答-6"><a class="header" href="#解答-6">解答</a></h4>
<p>计算公式：((j-1) * 10 + (j-1)) * 4</p>
<ol>
<li>(4 * 10 + 3) * 4 = 172</li>
<li>(7 * 10 + 9) * 4 = 316</li>
<li>(16 * 10 + 2) * 4 = 648</li>
</ol>
<h3 id="648"><a class="header" href="#648">6.4.8</a></h3>
<p>一个按行存放的实数型数组 A[i, j, k] 的下标 i 的范围为 1~4，下标 j 的范围为 0~4，且下标 k 的范围为 5~10。每个实数占 8 个字节。假设数组 A 从 0 字节开始存放，计算下列元素的位置：</p>
<ol>
<li>A[3, 4, 5]</li>
<li>A[1, 2, 7]</li>
<li>A[4, 3, 9]</li>
</ol>
<h4 id="解答-7"><a class="header" href="#解答-7">解答</a></h4>
<p>计算公式：((i-1) * 5 * 6 + j * 6 + (k-5)) * 8</p>
<ol>
<li>((3-1) * 5 * 6 + 4 * 6 + (5-5)) * 8 = 672</li>
<li>((1-1) * 5 * 6 + 2 * 6 + (7-5)) * 8 = 112</li>
<li>((4-1) * 5 * 6 + 3 * 6 + (9-5)) * 8 = 896</li>
</ol>
<h3 id="649"><a class="header" href="#649">6.4.9</a></h3>
<p>假定 A 是按列存放的，重复练习 6.4.8</p>
<h4 id="解答-8"><a class="header" href="#解答-8">解答</a></h4>
<p>计算公式：((i-1) + j * 4 + (k-5) * 5 * 4) * 8</p>
<ol>
<li>((3-1) + 4 * 4 + (5-5) * 5 * 4) * 8 = 144</li>
<li>((1-1) + 2 * 4 + (7-5) * 5 * 4) * 8 = 384</li>
<li>((4-1) + 3 * 4 + (9-5) * 5 * 4) * 8 = 760</li>
</ol>

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